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Binomial Theorem Test - 2

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Binomial Theorem Test - 2
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  • Question 1
    1 / -0

    If n is a rational number, which is not a whole number, then the number of terms in the expansion of (1+x)n,|x|<1, is

    Solution

    (1+x)n=nC0 1n+nC1  1n−1x1+nC2 1n−2x2+................+nCn x

    ⇒(1+x)n=1+nC1 x+nC2 x2+................+nC xn

    Hence we have number of terms of (1+x)n=n+1 

     

  • Question 2
    1 / -0

    Sum of coefficients in the expansion of (1 + 2x - 4x2)1994 is

  • Question 3
    1 / -0

    The sum of coefficients in the expansion (x + 2y + 3z)10 is

  • Question 4
    1 / -0

    The term containing x3 in the expansion of (x−2y)7 is

  • Question 5
    1 / -0

    If A be the sum of the odd terms and B the sum of even terms in the expansion of (x + a)n, then the value of A2 - B2 is

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